Algebraic Geometry

Authors and titles for September 2025

[201] arXiv:2509.21204 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Trace of Frobenius on nearby cycles for a $Γ_1(p)$-local model Show Chinese title

Title: Frobenius在$Γ_1(p)$局部模型邻域循环上的迹

Giulio Marazza

Subjects: Algebraic Geometry (math.AG)

[202] arXiv:2509.21298 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Strong cohomological integrality for symmetric stacks Show Chinese title

Title: 对称堆栈的强上同调整性

Lucien Hennecart, Tasuki Kinjo

Comments: 17 pages. Comments are welcome!

Subjects: Algebraic Geometry (math.AG) ; Geometric Topology (math.GT) ; Representation Theory (math.RT)

[203] arXiv:2509.21454 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds Show Chinese title

Title: 稳定性条件和五次三维体库兹涅佐夫部分的模空间

Peize Liu

Comments: 47 pages, 6 figures

Subjects: Algebraic Geometry (math.AG)

[204] arXiv:2509.21476 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: A Comparison of Categories of Nori Motivic Sheaves Show Chinese title

Title: Nori动机层的类别比较

Emil Jacobsen, Luca Terenzi

Comments: 82 pages. Comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[205] arXiv:2509.21807 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Upper bound on the multiplicity of rational and Du Bois singularities Show Chinese title

Title: 有理奇异性和Du Bois奇异性的重数上界

Sung Gi Park

Comments: 7 pages

Subjects: Algebraic Geometry (math.AG)

[206] arXiv:2509.21824 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Stein degree on non-Fano type fibrations Show Chinese title

Title: Stein 余维数在非 Fano 型纤维化中的应用

Caucher Birkar, Santai Qu

Comments: 10 pages, comments are very welcome

Subjects: Algebraic Geometry (math.AG)

[207] arXiv:2509.22025 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Wild Brauer classes via prismatic cohomology Show Chinese title

Title: 通过棱镜上同调的野生布劳尔类

Emiliano Ambrosi, Rachel Newton, Margherita Pagano

Comments: comments welcome

Subjects: Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[208] arXiv:2509.22095 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Trivializing Torsors for Difference Algebraic Groups Show Chinese title

Title: 平凡化差分代数群的torsor

Annette Bachmayr, Michael Wibmer

Comments: 33 pages

Subjects: Algebraic Geometry (math.AG)

[209] arXiv:2509.22491 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Counting Fourier-Mukai partners of cubic fourfolds Show Chinese title

Title: 立方四维体的傅里叶-穆凯伙伴计数

Christian Böhning, Hans-Christian Graf von Bothmer, Lisa Marquand

Comments: 31 pages, comments welcome

Subjects: Algebraic Geometry (math.AG)

[210] arXiv:2509.22569 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Some Semi-Classical Noncommutative Resolutions of Kleinian Singularities Show Chinese title

Title: 一些半经典非交换Klein奇点的解消

Lukas Bertsch

Comments: 16 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[211] arXiv:2509.00273 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: CM theory, maximal hyperelliptic curves, and Chebyshev polynomials Show Chinese title

Title: CM理论，极大双纽曲线和切比雪夫多项式

Saeed Tafazolia, Jaap Top

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[212] arXiv:2509.00551 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Elliptic surfaces to class groups and Selmer groups Show Chinese title

Title: 椭圆曲面到类群和Selmer群

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

Comments: 12 pages. To appear in `Research in Number Theory'

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[213] arXiv:2509.00690 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory Show Chinese title

Title: 谱模问题对于层次结构和Morava E理论的整数Jacquet-Langlands对偶

Xuecai Ma, Yifei Zhu

Subjects: Algebraic Topology (math.AT) ; Algebraic Geometry (math.AG) ; Number Theory (math.NT) ; Representation Theory (math.RT)

[214] arXiv:2509.00743 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: The CR Yamabe invariant and constant scalar curvature Sasaki metrics Show Chinese title

Title: CR Yamabe不变量和具有常标量曲率的Sasaki度量

Abdellah Lahdili, Eveline Legendre, Carlo Scarpa

Comments: 44 pages. Comments are welcome!

Subjects: Differential Geometry (math.DG) ; Algebraic Geometry (math.AG)

[215] arXiv:2509.00954 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Permutation twisted cohomology, remixed Show Chinese title

Title: 排列扭曲上同调，重新混音

Sam K. Miller

Comments: 32 pages. Comments very welcome! v2: Minor changes

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Category Theory (math.CT) ; Group Theory (math.GR)

[216] arXiv:2509.01002 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: An introduction to conifold transitions Show Chinese title

Title: 一个关于锥流形转变的介绍

Tristan C. Collins

Subjects: Differential Geometry (math.DG) ; Algebraic Geometry (math.AG)

[217] arXiv:2509.01010 (cross-list from cs.RO) [cn-pdf, pdf, html, other]

Title: A Robust Numerical Method for Solving Trigonometric Equations in Robotic Kinematics Show Chinese title

Title: 一种用于机器人运动学中三角方程求解的鲁棒数值方法

Hai-Jun Su

Subjects: Robotics (cs.RO) ; Algebraic Geometry (math.AG)

[218] arXiv:2509.01191 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Log-regularity of monoid algebras Show Chinese title

Title: 单半群代数的对数正则性

Shinnosuke Ishiro

Comments: 5 pages

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[219] arXiv:2509.01284 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: The Galois Theory (a ring theoretic approach) Show Chinese title

Title: 伽罗瓦理论（环论方法）

V. V. Bavula

Comments: 13 pages

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[220] arXiv:2509.01386 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Finite-dimensional modules over associative equivariant map algebras Show Chinese title

Title: 有限维模在结合等变映射代数上

Alexandru Chirvasitu

Comments: 8 pages + references

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Category Theory (math.CT) ; Quantum Algebra (math.QA) ; Rings and Algebras (math.RA)

[221] arXiv:2509.01516 (cross-list from math.KT) [cn-pdf, pdf, html, other]

Title: $K(1)$-local $K$-theory of Azumaya algebras Show Chinese title

Title: $K(1)$-局部$K$-Azumaya代数理论

Maxime Ramzi

Comments: 41 pages, comments welcome!

Subjects: K-Theory and Homology (math.KT) ; Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[222] arXiv:2509.01573 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Perfect $F$-gauges and finite flat group schemes Show Chinese title

Title: 完美$F$-规范和有限平坦群概形

Keerthi Madapusi, Shubhodip Mondal

Comments: First version. Comments welcome!

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[223] arXiv:2509.01598 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: A double copy from twisted (co)homology at genus g Show Chinese title

Title: 从 genus g 处的扭曲 (co)同调的双重复制

Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez

Comments: 39 + 13 pages; 14 figures; 1 ancillary file

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG)

[224] arXiv:2509.01693 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Test Modules of Extended Rees Algebras Show Chinese title

Title: 扩展Rees代数的测试模块

Rahul Ajit, Hunter Simper

Comments: 15 pages, Comments are very much welcome!

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[225] arXiv:2509.01857 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Hybrid pipe dreams for the lower-upper scheme Show Chinese title

Title: 下上方案的混合管道梦想

Allen Knutson, Paul Zinn-Justin

Subjects: Combinatorics (math.CO) ; Algebraic Geometry (math.AG)

[226] arXiv:2509.02002 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Symmetric spaces for groups over involutive algebras and applications to Higgs bundles Show Chinese title

Title: 对具有对合代数的群的对称空间及其在Higgs丛中的应用

Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov, Anna Wienhard

Comments: 79 pages

Subjects: Differential Geometry (math.DG) ; Algebraic Geometry (math.AG) ; Rings and Algebras (math.RA)

[227] arXiv:2509.02014 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Uniform Steiner bundles on $\mathbb{P}^n$ and reflection functors Show Chinese title

Title: 均匀Steiner丛在$\mathbb{P}^n$上和反射函子

Daniel Bissinger

Comments: preliminary version; comments are welcome

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[228] arXiv:2509.02239 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Canonical Forms as Dual Volumes Show Chinese title

Title: 规范形式作为对偶体积

Elia Mazzucchelli, Prashanth Raman

Comments: 37 pages, 14 figures

Subjects: High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG) ; Analysis of PDEs (math.AP) ; Probability (math.PR) ; Statistics Theory (math.ST)

[229] arXiv:2509.02319 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Arithmetic Sparsity and Cohomological Obstructions in Weighted Projective Spaces Show Chinese title

Title: 算术稀疏性与加权射影空间中的上同调障碍

Tony Shaska Sr

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[230] arXiv:2509.02368 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Hecke modifications of conformal blocks outside the critical level Show Chinese title

Title: 共形块的Hecke修改在临界水平之外

Raschid Abedin, Giovanni Felder, Robert Windesheim

Subjects: Representation Theory (math.RT) ; Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG)

[231] arXiv:2509.02786 (cross-list from math.KT) [cn-pdf, pdf, html, other]

Title: Rings of cooperations for Hermitian K-theory over finite fields Show Chinese title

Title: 有限域上埃尔米特K理论的协作环

Jackson Morris

Comments: 30 pages, 14 figures. Comments welcome!

Subjects: K-Theory and Homology (math.KT) ; Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[232] arXiv:2509.03160 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Modular Zilber-Pink for geometrically generic varieties Show Chinese title

Title: 几何一般性代数簇的模Zilber-Pink猜想

Vahagn Aslanyan, Sebastian Eterović, Guy Fowler

Comments: 17 pages

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG) ; Logic (math.LO)

[233] arXiv:2509.03224 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Markov staircases Show Chinese title

Title: 马尔可夫楼梯

Nikolas Adaloglou, Joé Brendel, Jonny Evans, Johannes Hauber, Felix Schlenk

Comments: 63 pages, 26 figures

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Geometric Topology (math.GT)

[234] arXiv:2509.03285 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Deformations of differential equations Show Chinese title

Title: 微分方程的变形

Ziyu Zhang

Subjects: Classical Analysis and ODEs (math.CA) ; Algebraic Geometry (math.AG)

[235] arXiv:2509.03602 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: The Beilinson-Bloch conjecture for some cubic threefolds over global function fields Show Chinese title

Title: 贝林森-布洛赫关于全局函数域上某些三次三维空间的猜想

Matt Broe

Comments: 16 pages. Comments welcome!

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[236] arXiv:2509.03840 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Nets of conics containing a double line in $\mathrm{PG}(2,q)$, $q$ even Show Chinese title

Title: 包含在$\mathrm{PG}(2,q)$和$q$中的双线的圆锥曲线网

Nour Alnajjarine, Michel Lavrauw

Subjects: Combinatorics (math.CO) ; Algebraic Geometry (math.AG)

[237] arXiv:2509.03998 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Integral Diophantine approximation on varieties Show Chinese title

Title: 代数簇上的积分丢番图逼近

Zhizhong Huang, Florian Wilsch

Comments: 31 pages, 2 figures

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[238] arXiv:2509.04364 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Lifting Frobenius splittings through geometric vertex decomposition Show Chinese title

Title: 通过几何顶点分解提升弗罗贝尼乌斯分裂

Emanuela De Negri, Elisa Gorla, Patricia Klein, Jenna Rajchgot, Lisa Seccia

Comments: Comments welcome!

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[239] arXiv:2509.04681 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: Euler characteristic of a mixed Koszul complex and the index of vector fields Show Chinese title

Title: 混合Koszul复形的欧拉示性数和向量场的指标

Achim Hennings

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[240] arXiv:2509.04756 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: On the Dolbeault Cohomology of Configuration Spaces Show Chinese title

Title: 关于配置空间的Dolbeault上同调

Peng Yang

Comments: 12 pages. Comments are welcome

Subjects: Algebraic Topology (math.AT) ; Algebraic Geometry (math.AG)

[241] arXiv:2509.04978 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: On the Quadratic Structure of Torsors over Affine Group Schemes Show Chinese title

Title: 关于仿射群概形上扭子的二次结构

Philippe Cassou-Noguès, Martin J. Taylor (with an appendix of Dajano Tossici)

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG)

[242] arXiv:2509.05275 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Joyce structures from quadratic differentials on the sphere Show Chinese title

Title: 球面上二次微分的乔伊斯结构

Timothy Moy

Comments: 38 pages

Subjects: Differential Geometry (math.DG) ; Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG)

[243] arXiv:2509.05526 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: Special Cycle on Shtukas and Categorical Trace Show Chinese title

Title: Shtukas上的特殊循环与范畴迹

Zeyu Wang

Comments: 61 pages, comments welcome!

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG) ; Representation Theory (math.RT)

[244] arXiv:2509.05707 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Rigidity for compact hyperbolic complex manifolds Show Chinese title

Title: 紧致双曲复流形的刚性

Mu-Lin Li, Sheng Rao, Mengjiao Wang

Comments: 10pages, all comments and remarks are welcome

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[245] arXiv:2509.06034 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Differential forms, open-closed maps, and Gromov-Witten axioms Show Chinese title

Title: 微分形式，开-闭映射和格罗莫夫-温特公理

Pavel Giterman, Jake P. Solomon, Sara B. Tukachinsky

Comments: 47 pages, 2 figures

Subjects: Symplectic Geometry (math.SG) ; High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG)

[246] arXiv:2509.06059 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: On the integral cohomology of real toric manifolds Show Chinese title

Title: 实射影环面流形的整数上同调

Feifei Fan

Comments: 34 pages

Subjects: Algebraic Topology (math.AT) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[247] arXiv:2509.06211 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On F-Pure Thresholds and Quasi-F-Purity of hypersurfaces Show Chinese title

Title: 关于F-纯阈值和超曲面的准F-纯性

Jack J Garzella, Vignesh Jagathese

Comments: Comments welcome!

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[248] arXiv:2509.06222 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: Isotopy invariance and stratified $\mathbb{E}_2$-structure of the Ran Grassmannian Show Chinese title

Title: 同胚不变性与Ran格拉斯曼ian的分层$\mathbb{E}_2$-结构

Guglielmo Nocera, Morena Porzio

Subjects: Algebraic Topology (math.AT) ; Algebraic Geometry (math.AG)

[249] arXiv:2509.06379 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: On Kaplansky's Embedding Theorem Show Chinese title

Title: 论卡普兰斯基的嵌入定理

Bernard Teissier (CNRS, UPCité, SU)

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[250] arXiv:2509.06527 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: $δ$-rings, perfectoid towers, and lim Cohen-Macaulay sequences Show Chinese title

Title: $δ$-环，完美塔，以及lim Cohen-Macaulay序列

Shinnosuke Ishiro, Kazuma Shimomoto

Comments: 31 pages, v2:remove the condition of (ii) in Theorem 4.6, and revised Example 4.9 and Corollary 4.10

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) ; Number Theory (math.NT)